Page 183 - Algebra 1

*7. Error Analysis Two students solved the same multi-step equation. Which student
(28)
is correct? Explain the error.
Student A
3x - 4 = 2x - (4 + x) 3x - 4 = 2x - 4 + x 3x - 4 = 3x - 4
0=0
All real numbers.
Student B
3x - 4 = 2x - (4 + x) 3x - 4 = 2x - 4 - x 3x - 4 = x - 4
2x = 0 x=0
*8. Generalize If the equation yx = zx is true, when yx is positive, x ≠ 0, and z is (26) a negative integer. Will x be positive or negative?
9. Geometry The graph shows areas of several square
Area of Paper Squares
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sheets of paper.
a. About how many times greater does the
area of Sheet 4 appear to be than that of Sheet 3?
b. The squares have side lengths of 9, 10, 8, and 11 inches. About how many times greater is the area of Sheet 4 than the area of Sheet 3?
10. True or False: A broken scale can make changes in data appear less than they
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actually are. If false, explain why.
11. Multi-Step Average home prices in several cities are shown in the table.
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*12. Multi-Step Use the graph.
(25) a. Give the domain and range of the relation. 4
Sheet 1 Sheet 2 Sheet 3 Sheet 4
City
Woodside
Reefville
Boynton
Dunston
York
Average Home Price (in thousands)
$265
$210
$320
$375
$350
a. Make a bar graph with a scale from 200 to 400. Use intervals of 40.
b. Without looking at the scale, what conclusions might the graph lead to?
c. Why might a real estate agent who sells houses only in Reefville want to show potential clients a graph like this?
y
x
b. Determine whether the relation is a function. Explain.
2
O
168 Saxon Algebra 1
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